Energy decay rates for solutions of the wave equation with boundary damping and source term

Jong Yeoul Park; Tae Gab Ha; Yong Han Kang

doi:10.1007/s00033-009-0009-z

Energy decay rates for solutions of the wave equation with boundary damping and source term

Jong Yeoul Park
, Tae Gab Ha
, Yong Han Kang

Department of Mathematics

Pusan National University
University of Ulsan

Research output: Contribution to journal › Journal article › peer-review

15 Scopus citations

Abstract

In this paper, we consider the wave equation, with the following nonlinear boundary condition, We show energy decay rates for solutions of the wave equation in bounded domain with nonlinear boundary damping and source term.

Original language	English
Pages (from-to)	235-265
Number of pages	31
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	61
Issue number	2
DOIs	https://doi.org/10.1007/s00033-009-0009-z
State	Published - 2010.04

Keywords

Boundary damping term
Source term
Wave equation

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10.1007/s00033-009-0009-z

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title = "Energy decay rates for solutions of the wave equation with boundary damping and source term",

abstract = "In this paper, we consider the wave equation, with the following nonlinear boundary condition, We show energy decay rates for solutions of the wave equation in bounded domain with nonlinear boundary damping and source term.",

keywords = "Boundary damping term, Source term, Wave equation",

author = "Park, \{Jong Yeoul\} and Ha, \{Tae Gab\} and Kang, \{Yong Han\}",

year = "2010",

month = apr,

doi = "10.1007/s00033-009-0009-z",

language = "English",

volume = "61",

pages = "235--265",

journal = "Zeitschrift fur Angewandte Mathematik und Physik",

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TY - JOUR

T1 - Energy decay rates for solutions of the wave equation with boundary damping and source term

AU - Park, Jong Yeoul

AU - Ha, Tae Gab

AU - Kang, Yong Han

PY - 2010/4

Y1 - 2010/4

N2 - In this paper, we consider the wave equation, with the following nonlinear boundary condition, We show energy decay rates for solutions of the wave equation in bounded domain with nonlinear boundary damping and source term.

AB - In this paper, we consider the wave equation, with the following nonlinear boundary condition, We show energy decay rates for solutions of the wave equation in bounded domain with nonlinear boundary damping and source term.

KW - Boundary damping term

KW - Source term

KW - Wave equation

UR - https://www.scopus.com/pages/publications/77952425483

U2 - 10.1007/s00033-009-0009-z

DO - 10.1007/s00033-009-0009-z

M3 - Journal article

AN - SCOPUS:77952425483

SN - 0044-2275

VL - 61

SP - 235

EP - 265

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 2

ER -

Energy decay rates for solutions of the wave equation with boundary damping and source term

Abstract

Keywords

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